Journal of the
Korean Mathematical Society JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008
qr-code QR
Code

Article

HOME ALL ARTICLES View

J. Korean Math. Soc. 2018; 55(1): 43-58

Online first article October 17, 2017      Printed January 1, 2018

https://doi.org/10.4134/JKMS.j160717

Copyright © The Korean Mathematical Society.

Bifurcation of a predator-prey system with generation delay and habitat complexity

Zhihui Ma, Haopeng Tang, Shufan Wang, Tingting Wang

Lanzhou University, Lanzhou University, Northwest University for Nationalities, Lanzhou University

Abstract

Go to

In this paper, we study a delayed predator-prey system with Holling type IV functional response incorporating the effect of habitat complexity. The results show that there exist stability switches and Hopf bifurcation occurs while the delay crosses a set of critical values. The explicit formulas which determine the direction and stability of Hopf bifurcation are obtained by the normal form theory and the center manifold theorem.

Keywords: predator-prey system, time delay, Holling IV type functional response, Habitat complexity, Hopf bifurcation

MSC numbers: 37C75, 34K18, 92B05, 92D25, 93D20

Article Tools

Stats or Metrics

Share this article on :

Related articles in JKMS

more +